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Finding the Fourth Proportional to 9,740.48, 13,435.63 and 6,755.23

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Solution

The fourth proportional to 9,740.48, 13,435.63 and 6,755.23 is: 9,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.48 : 13,435.63 = 6,755.23 : x
  2. Step 2: Convert to fraction form
    9,740.48/13,435.63 = 6,755.23/x
  3. Step 3: Cross multiply
    9,740.48x = 13,435.63 × 6,755.23
  4. Step 4: Simplify right side
    9,740.48x = 90,760,714.18
  5. Step 5: Solve for x
    x = 90,760,714.18/9,740.48
  6. Step 6: Final answer
    x = 9,317.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.